A Brief Introduction to General Fourier Series Show that the given functions are orthogonal on the indicated interval. 43) Let o (x) be an orthogonal set of functions on [a,b] such that o (x) = 1 and 4 (x) = r. Show that (or + 3) (x) dx = 0 for n = 2,3,... and any constant a and B. 44) Let o (r). be an orthogonal set of functions on [a, b]. Show that $ (2 ) + 0 (2 ) |1= 10(2)|+ 10 (2), m z n